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Finding the Third Proportional to 161,508.94 and 377,227.13

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Solution

The third proportional to 161,508.94 and 377,227.13 is: 881,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,508.94 : 377,227.13 = 377,227.13 : x
  2. Step 2: Convert to fraction form
    161,508.94/377,227.13 = 377,227.13/x
  3. Step 3: Cross multiply
    161,508.94x = 377,227.13 × 377,227.13
  4. Step 4: Simplify right side
    161,508.94x = 142,300,303,835.77
  5. Step 5: Solve for x
    x = 142,300,303,835.77/161,508.94
  6. Step 6: Final answer
    x = 881,067.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.